Lorenzo Piroli (Avtor), Bruno Bertini (Avtor), J. Ignacio Cirac (Avtor), Tomaž Prosen (Avtor)

Povzetek

We consider the class of dual-unitary quantum circuits in 1 + 1 dimensions and introduce a notion of “solvable” matrix product states (MPSs), defined by a specific condition which allows us to tackle their time evolution analytically. We provide a classification of the latter, showing that they include certain MPSs of arbitrary bond dimension, and study analytically different aspects of their dynamics. For these initial states, we show that while any subsystem of size l reaches infinite temperature after a time t ∝ l, irrespective of the presence of conserved quantities, the light cone of two-point correlation functions displays qualitatively different features depending on the ergodicity of the quantum circuit, defined by the behavior of infinite-temperature dynamical correlation functions. Furthermore, we study the entanglement spreading from such solvable initial states, providing a closed formula for the time evolution of the entanglement entropy of a connected block. This generalizes recent results obtained in the context of the self-dual kicked Ising model. By comparison, we also consider a family of nonsolvable initial mixed states depending on one real parameter β, which, as β is varied from zero to infinity, interpolate between the infinite-temperature density matrix and arbitrary initial pure product states. We study analytically their dynamics for small values of β, and highlight the differences from the case of solvable MPSs.

Ključne besede

kvantna mehanika;nelinearna statistična mehanika;quantum mechanics;nonlinear statistical mechanics;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 536.93
COBISS: 23769347 Povezava se bo odprla v novem oknu
ISSN: 2469-9950
Št. ogledov: 406
Št. prenosov: 183
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: kvantna mehanika;nelinearna statistična mehanika;
Strani: str. 094304-1-094304-16
Letnik: ǂVol. ǂ101
Zvezek: ǂiss. ǂ9
Čas izdaje: 2020
DOI: 10.1103/PhysRevB.101.094304
ID: 11922578